Gould, Nicholas I. M.; Simoncini, Valeria Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. (English) Zbl 1428.90160 Optim. Methods Softw. 35, No. 2, 304-328 (2020). MSC: 90C30 65K05 90C20 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{V. Simoncini}, Optim. Methods Softw. 35, No. 2, 304--328 (2020; Zbl 1428.90160) Full Text: DOI Link
Gould, Nicholas I. M.; Rees, Tyrone; Scott, Jennifer A. Convergence and evaluation-complexity analysis of a regularized tensor-Newton method for solving nonlinear least-squares problems. (English) Zbl 1435.90100 Comput. Optim. Appl. 73, No. 1, 1-35 (2019). MSC: 90C20 90C53 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Comput. Optim. Appl. 73, No. 1, 1--35 (2019; Zbl 1435.90100) Full Text: DOI Link
Gould, Nicholas I. M.; Robinson, Daniel P. A dual gradient-projection method for large-scale strictly convex quadratic problems. (English) Zbl 1401.90142 Comput. Optim. Appl. 67, No. 1, 1-38 (2017). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{D. P. Robinson}, Comput. Optim. Appl. 67, No. 1, 1--38 (2017; Zbl 1401.90142) Full Text: DOI
Curtis, Frank E.; Gould, Nicholas I. M.; Robinson, Daniel P.; Toint, Philippe L. An interior-point trust-funnel algorithm for nonlinear optimization. (English) Zbl 1355.65075 Math. Program. 161, No. 1-2 (A), 73-134 (2017). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 49M37 90C26 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Math. Program. 161, No. 1--2 (A), 73--134 (2017; Zbl 1355.65075) Full Text: DOI Link
Gould, Nicholas; Scott, Jennifer A note on performance profiles for benchmarking software. (English) Zbl 1369.65202 ACM Trans. Math. Softw. 43, No. 2, Article No. 15, 5 p. (2016). MSC: 65Y20 PDFBibTeX XMLCite \textit{N. Gould} and \textit{J. Scott}, ACM Trans. Math. Softw. 43, No. 2, Article No. 15, 5 p. (2016; Zbl 1369.65202) Full Text: DOI Link
Curtis, Frank E.; Gould, Nicholas I. M.; Jiang, Hao; Robinson, Daniel P. Adaptive augmented Lagrangian methods: algorithms and practical numerical experience. (English) Zbl 1339.49023 Optim. Methods Softw. 31, No. 1, 157-186 (2016). MSC: 49M05 49M15 49M29 49M37 65K05 65K10 90C06 90C30 93B40 93A15 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Optim. Methods Softw. 31, No. 1, 157--186 (2016; Zbl 1339.49023) Full Text: DOI arXiv
Gould, Nicholas I. M.; Orban, Dominique; Toint, Philippe L. CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization. (English) Zbl 1325.90004 Comput. Optim. Appl. 60, No. 3, 545-557 (2015). MSC: 90-04 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Comput. Optim. Appl. 60, No. 3, 545--557 (2015; Zbl 1325.90004) Full Text: DOI
Gould, Nicholas I. M.; Orban, Dominique; Robinson, Daniel P. Trajectory-following methods for large-scale degenerate convex quadratic programming. (English) Zbl 1272.65051 Math. Program. Comput. 5, No. 2, 113-142 (2013). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C20 90C25 90C51 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Math. Program. Comput. 5, No. 2, 113--142 (2013; Zbl 1272.65051) Full Text: DOI Link
Gould, N. I. M.; Porcelli, M.; Toint, P. L. Updating the regularization parameter in the adaptive cubic regularization algorithm. (English) Zbl 1259.90134 Comput. Optim. Appl. 53, No. 1, 1-22 (2012). MSC: 90C30 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Comput. Optim. Appl. 53, No. 1, 1--22 (2012; Zbl 1259.90134) Full Text: DOI Link
Gould, Nicholas I. M. How good are extrapolated bi-projection methods for linear feasibility problems? (English) Zbl 1244.90157 Comput. Optim. Appl. 51, No. 3, 1089-1095 (2012). MSC: 90C05 PDFBibTeX XMLCite \textit{N. I. M. Gould}, Comput. Optim. Appl. 51, No. 3, 1089--1095 (2012; Zbl 1244.90157) Full Text: DOI Link
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Adaptive cubic regularisation methods for unconstrained optimization. I: Motivation, convergence and numerical results. (English) Zbl 1229.90192 Math. Program. 127, No. 2 (A), 245-295 (2011). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C30 65K05 49M37 49M15 58C15 65F10 65H05 PDFBibTeX XMLCite \textit{C. Cartis} et al., Math. Program. 127, No. 2 (A), 245--295 (2011; Zbl 1229.90192) Full Text: DOI
Gould, Nicholas I. M.; Robinson, Daniel P.; Thorne, H. Sue On solving trust-region and other regularised subproblems in optimization. (English) Zbl 1193.65098 Math. Program. Comput. 2, No. 1, 21-57 (2010). Reviewer: Hang Lau (Montréal) MSC: 65K05 65F22 65H05 90C20 90C26 90C30 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., Math. Program. Comput. 2, No. 1, 21--57 (2010; Zbl 1193.65098) Full Text: DOI Link
Cartis, C.; Gould, N. I. M.; Toint, P. L. Trust-region and other regularisations of linear least-squares problems. (English) Zbl 1165.65019 BIT 49, No. 1, 21-53 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F22 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{C. Cartis} et al., BIT 49, No. 1, 21--53 (2009; Zbl 1165.65019) Full Text: DOI Link
Gould, Nicholas I. M. How good are projection methods for convex feasibility problems? (English) Zbl 1146.90039 Comput. Optim. Appl. 40, No. 1, 1-12 (2008). MSC: 90C05 90C56 PDFBibTeX XMLCite \textit{N. I. M. Gould}, Comput. Optim. Appl. 40, No. 1, 1--12 (2008; Zbl 1146.90039) Full Text: DOI
Dollar, H. S.; Gould, N. I. M.; Schilders, W. H. A.; Wathen, A. J. Using constraint preconditioners with regularized saddle-point problems. (English) Zbl 1124.65033 Comput. Optim. Appl. 36, No. 2-3, 249-270 (2007). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{H. S. Dollar} et al., Comput. Optim. Appl. 36, No. 2--3, 249--270 (2007; Zbl 1124.65033) Full Text: DOI Link
Gould, Nicholas I. M.; Toint, Philippe L. An iterative working-set method for large-scale nonconvex quadratic programming. (English) Zbl 1012.65054 Appl. Numer. Math. 43, No. 1-2, 109-128 (2002). MSC: 65K05 65F10 65F35 90C06 90C20 90C52 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{P. L. Toint}, Appl. Numer. Math. 43, No. 1--2, 109--128 (2002; Zbl 1012.65054) Full Text: DOI
Gould, Nicholas I. M.; Scott, Jennifer A. Sparse approximate-inverse preconditioners using norm-minimization techniques. (English) Zbl 0911.65037 SIAM J. Sci. Comput. 19, No. 2, 605-625 (1998). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F35 65F10 65F50 65Y05 65Y20 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{J. A. Scott}, SIAM J. Sci. Comput. 19, No. 2, 605--625 (1998; Zbl 0911.65037) Full Text: DOI
Gould, Nicholas I. M.; Reid, John K. New crash procedures for large systems of linear constraints. (English) Zbl 0692.90089 Math. Program., Ser. B 45, No. 3, 475-501 (1989). Reviewer: S.Mititelu MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{J. K. Reid}, Math. Program. 45, No. 3 (B), 475--501 (1989; Zbl 0692.90089) Full Text: DOI
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L. Testing a class of methods for solving minimization problems with simple bounds on the variables. (English) Zbl 0645.65033 Math. Comput. 50, No. 182, 399-430 (1988). Reviewer: K.Schittkowski MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. R. Conn} et al., Math. Comput. 50, No. 182, 399--430 (1988; Zbl 0645.65033) Full Text: DOI
Caron, R. J.; Gould, N. I. M. Finding a positive semidefinite interval for a parametric matrix. (English) Zbl 0593.15015 Linear Algebra Appl. 76, 19-29 (1986). Reviewer: P.Rudra MSC: 15B48 90C20 PDFBibTeX XMLCite \textit{R. J. Caron} and \textit{N. I. M. Gould}, Linear Algebra Appl. 76, 19--29 (1986; Zbl 0593.15015) Full Text: DOI